水平简谐荷载作用下饱和土中群桩的动力反应
|
摘要
研究了在水平简谐荷载作用下饱和土中群桩的动力反应问题。半空间饱和土采用Biot提出的三维波动原理,将桩看作是一维的弹性杆单元,采用Hankel变换及数值逆变换得到饱和土的基本解。利用桩土之间的变形协调条件和叠加原理得到饱和土中群桩的第2类Fredholm积分方程,采用动力相互作用因子的方法计算群桩在水平荷载作用下的动力阻抗,给出了群桩的阻抗、弯矩以及孔压的数值结果。该方法可用于计算层状饱和土中群桩的水平动力反应问题。
The dynamic responses of pile groups in saturated soil subjected to horizontal harmonic load are researched. By adopting Biot′s three-dimensional wave theory for the half space saturated soil and the pile being simplified as one-dimensional elastic bar,the fundamental solutions are obtained by Hankel integral transform and numerical inverse transform. The second kind of Fredholm′s integral equation of pile groups in saturated soil can be obtained by using compatibility condition between piles and soil and the superposition method. The dynamic impedances of pile groups in saturated soil subjected to horizontal loads are determined by using dynamic interaction factors,and the horizontal impedances,moments and pore pressures are presented. The method can be used to calculate horizontal dynamic response of pile groups in multilayered saturated soil.
The dynamic responses of pile groups in saturated soil subjected to horizontal harmonic load are researched. By adopting Biot′s three-dimensional wave theory for the half space saturated soil and the pile being simplified as one-dimensional elastic bar,the fundamental solutions are obtained by Hankel integral transform and numerical inverse transform. The second kind of Fredholm′s integral equation of pile groups in saturated soil can be obtained by using compatibility condition between piles and soil and the superposition method. The dynamic impedances of pile groups in saturated soil subjected to horizontal loads are determined by using dynamic interaction factors,and the horizontal impedances,moments and pore pressures are presented. The method can be used to calculate horizontal dynamic response of pile groups in multilayered saturated soil.
引文
[1]蒯行成,沈蒲生.层状介质中群桩水平动力阻抗的简化计算方法[J].振动工程学报,1998,11(3):258–264.(Kuai Xingcheng,Shen Pusheng.Simple method for calculating horizontal dynamic impedances of pile groups in layered media[J].Journal of Vibration Engineering,1998,11(3):258–264.(in Chinese))
[2]Wu G,Finn W D L.Dynamic elastic analysis of pile foundations using finite element method in the frequency domain[J].Can.Geotech.J.,1997,34:34–43.
[3]Mamoon S M,Kaynia A M,Banerjee P K.Frequency domain dynamic analysis of piles and pile groups[J].Journal of Engineering Mechanics,1990,116(10):2237–2257.
[4]Zeng X,Rajapakse R K.Dynamic axial load transfer from elastic bar to poroelastic medium[J].Journal of Engineering Mechanics,1999,125(9):1048–1055.
[5]Philippacopoulos A J.Axisymmetric vibration of disk resting on saturated layered half-space[J].Journal of Engineering Mechanics,1989,115(10):2301–2322.
[6]陆建飞,王建华,沈为平.考虑固结和流变的群桩的积分方程解法[J].岩土工程学报,2000,22(6):650–653.(Lu Jianfei,Wang Jianhua,Shen Weiping.The integral equation method to solve pile group problem considering the consolidation and rheology of soil[J].Chinese Journal of Geotechnical Engineering,2000,22(6):650–653.(in Chinese))
[7]陆建飞,王建华,沈为平.半空间饱和土在内部简谐水平力作用下的Green函数[J].地震学报,2001,23(2):185–191.(Lu Jianfei,Wang Jianhua,Shen Weiping.The Green′s function of the harmonic horizontal force applied to the interior of the saturated half-space[J].Acta Seismologica Sinica,2001,23(2):185–191.(in Chinese))
[8]Biot M A.Mechanics of deformation and acoustic propagation in porous media[J].J.Appl.Phys.,1962,33(4):1482–1498.
[9]Muki R,Sternberg E.Elasto-static load-transfer to a half-space form a partially embedded axially loaded rod[J].Int.J.Solids Structures,1970,6:69–90.
[10]陆建飞.频域内半空间饱和土中水平受荷桩的动力分析[J].岩石力学与工程学报,2002,21(4):577–581.(Lu Jianfei.Dynamic frequency domain analysis on laterally loaded pole in saturated soil[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(4):577–581.(in Chinese))
[11]Mylonakis G,Gazetas G.Lateral vibration and internal forces of grouped piles in layered soil[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16–25.
[2]Wu G,Finn W D L.Dynamic elastic analysis of pile foundations using finite element method in the frequency domain[J].Can.Geotech.J.,1997,34:34–43.
[3]Mamoon S M,Kaynia A M,Banerjee P K.Frequency domain dynamic analysis of piles and pile groups[J].Journal of Engineering Mechanics,1990,116(10):2237–2257.
[4]Zeng X,Rajapakse R K.Dynamic axial load transfer from elastic bar to poroelastic medium[J].Journal of Engineering Mechanics,1999,125(9):1048–1055.
[5]Philippacopoulos A J.Axisymmetric vibration of disk resting on saturated layered half-space[J].Journal of Engineering Mechanics,1989,115(10):2301–2322.
[6]陆建飞,王建华,沈为平.考虑固结和流变的群桩的积分方程解法[J].岩土工程学报,2000,22(6):650–653.(Lu Jianfei,Wang Jianhua,Shen Weiping.The integral equation method to solve pile group problem considering the consolidation and rheology of soil[J].Chinese Journal of Geotechnical Engineering,2000,22(6):650–653.(in Chinese))
[7]陆建飞,王建华,沈为平.半空间饱和土在内部简谐水平力作用下的Green函数[J].地震学报,2001,23(2):185–191.(Lu Jianfei,Wang Jianhua,Shen Weiping.The Green′s function of the harmonic horizontal force applied to the interior of the saturated half-space[J].Acta Seismologica Sinica,2001,23(2):185–191.(in Chinese))
[8]Biot M A.Mechanics of deformation and acoustic propagation in porous media[J].J.Appl.Phys.,1962,33(4):1482–1498.
[9]Muki R,Sternberg E.Elasto-static load-transfer to a half-space form a partially embedded axially loaded rod[J].Int.J.Solids Structures,1970,6:69–90.
[10]陆建飞.频域内半空间饱和土中水平受荷桩的动力分析[J].岩石力学与工程学报,2002,21(4):577–581.(Lu Jianfei.Dynamic frequency domain analysis on laterally loaded pole in saturated soil[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(4):577–581.(in Chinese))
[11]Mylonakis G,Gazetas G.Lateral vibration and internal forces of grouped piles in layered soil[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16–25.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心